Home
Class 12
MATHS
Evaluate int(x^(2)-1)/((x^(2)+1)sqrt(1+x...

Evaluate `int(x^(2)-1)/((x^(2)+1)sqrt(1+x^(4)))dx.`

A

`(1)/(sqrt(2))sec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

B

`sqrt(2) sec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

C

`(1)/(sqrt(2))cosec^(-1)((x^(2)+1)/(sqrt(2)x))+C`

D

`sqrt(2)cosec^( -1)((x^(2)+1)/(sqrt(2)x))+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))\ dx

Evaluate int(dx)/((1+x^(2))sqrt(1-x^(2))).

Evaluate int (x^(2)+5x-1)/(sqrt(x))dx

Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))